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Finding the Fourth Proportional to 729.79, 1,090.41 and 704.27

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Solution

The fourth proportional to 729.79, 1,090.41 and 704.27 is: 1,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.79 : 1,090.41 = 704.27 : x
  2. Step 2: Convert to fraction form
    729.79/1,090.41 = 704.27/x
  3. Step 3: Cross multiply
    729.79x = 1,090.41 × 704.27
  4. Step 4: Simplify right side
    729.79x = 767,943.05
  5. Step 5: Solve for x
    x = 767,943.05/729.79
  6. Step 6: Final answer
    x = 1,052.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.